Question

Find distance between two points
P(-3,7) & q(5, 3)​

Answer 1

4√5 = PQ

Step-by-step explanation:

Refer attachment..

Answer 2

Given:

• P (-3, 7)
• Q (5, 3)

To find:

Distance PQ = ?

Solution:

Applying distance formula,

PQ² = (x₂ - x₁)² + (y₂ - y₁)²

⇒ PQ² = (5 - (-3))²+ (3 - 7)²

⇒ PQ² = (5 + 3)² + (-4)²

⇒ PQ² = (8)² + 16

⇒ PQ² = 64 + 16

⇒ PQ² = 80

⇒ PQ = √80

⇒ PQ = √16 × √5

⇒ PQ = 4√5 units.

∴ Distance PQ = 4√5 units

KNOW MORE:

• When 2 points are given and if asked to find distance between them, apply distance formula.
• When 2 points and ratio are given and said that point divides line in a particular ratio, apply section formula.